Brillouin Function (Graph)
Calculate the table for the Brillouin function and display it as a graph.
J accepts only positive integers or half-integers.
If you enter J=inf, the program calculates the values of the Langevin function.
If you enter J=inf, the program calculates the values of the Langevin function.
| \( \normalsize Brillouin\ function\ B_{J}(x)\\ B_{J}(x) = \frac{2J+1}{2J} \coth \left( \frac{2J+1}{2J} x \right) - \frac {1}{2J} \coth \left( \frac{1}{2J} x \right) \\ \normalsize Langevin\ function\ L(x)\\ \displaystyle \lim_{J \to \infty} B_{J}(x) = L(x) = \coth (x) - \frac {1}{x} \) |
No customer feedback for this calculation yet.